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Finding the Fourth Proportional to 77,307, 106,683.66 and 43,773

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Solution

The fourth proportional to 77,307, 106,683.66 and 43,773 is: 60,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307 : 106,683.66 = 43,773 : x
  2. Step 2: Convert to fraction form
    77,307/106,683.66 = 43,773/x
  3. Step 3: Cross multiply
    77,307x = 106,683.66 × 43,773
  4. Step 4: Simplify right side
    77,307x = 4,669,863,849.18
  5. Step 5: Solve for x
    x = 4,669,863,849.18/77,307
  6. Step 6: Final answer
    x = 60,406.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.